TY - GEN

T1 - The numbers lead a dance Mathematics of the Sestina

AU - Champneys, Alan R.

AU - Hjorth, Poul G.

AU - Man, Harry

PY - 2018

Y1 - 2018

N2 - Sestinas are poems of 39 lines comprising six verses of six lines each, and a three line final verse or 'envoi'. The structure of the sestina is built around word repetition rather than strict rhyme. Each verse uses the same set line ending words, but in a permuted order. The form of the permutation is highly specific, and is equivalent to iteration of the tent map. This paper considers for which number N of verses, other than 6, can a sestina-like poem be formed. That is, which N will the prescribed permutation lead to a poem of N verses where no two verses have the same order of their end words. In so doing, a link is found between permutation groups, chaotic dynamics, and Cunningham numbers.

AB - Sestinas are poems of 39 lines comprising six verses of six lines each, and a three line final verse or 'envoi'. The structure of the sestina is built around word repetition rather than strict rhyme. Each verse uses the same set line ending words, but in a permuted order. The form of the permutation is highly specific, and is equivalent to iteration of the tent map. This paper considers for which number N of verses, other than 6, can a sestina-like poem be formed. That is, which N will the prescribed permutation lead to a poem of N verses where no two verses have the same order of their end words. In so doing, a link is found between permutation groups, chaotic dynamics, and Cunningham numbers.

U2 - 10.4171/186-1/3

DO - 10.4171/186-1/3

M3 - Article in proceedings

SN - 9783037191866

T3 - EMS Series of Congress Reports

SP - 55

EP - 71

BT - Non-linear partial differential equations, mathematical physics, and stochastic analysis: the Helge Holden anniversary volume

PB - European Mathematical Society Publishing House

T2 - Non-linear PDEs, Mathematical Physics and Stochastic Analysis

Y2 - 4 July 2016 through 7 July 2016

ER -